Finding the Third Proportional to 154,875 and 227,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,875 : 227,776.50 = 227,776.50 : x
2. Step 2: Convert to fraction form
   154,875/227,776.50 = 227,776.50/x
3. Step 3: Cross multiply
   154,875x = 227,776.50 × 227,776.50
4. Step 4: Simplify right side
   154,875x = 51,882,133,952.25
5. Step 5: Solve for x
   x = 51,882,133,952.25/154,875
6. Step 6: Final answer
   x = 334,993.60